{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GVMBWEWELOFOEYNFBVP42MWYLZ","short_pith_number":"pith:GVMBWEWE","canonical_record":{"source":{"id":"1502.07883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-27T12:54:05Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"47480bf1c783a94f8f1cbf26e045ecdf793668a3a232f87453742fb4ab6c7b16","abstract_canon_sha256":"fcb41677ee3b60a2f08c69d50c5052d47c3308a02a312db084d595ce7453aad4"},"schema_version":"1.0"},"canonical_sha256":"35581b12c45b8ae261a50d5fcd32d85e7afff6ab0204e5bffef8913eb6d04bce","source":{"kind":"arxiv","id":"1502.07883","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07883","created_at":"2026-05-18T01:29:03Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07883v1","created_at":"2026-05-18T01:29:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07883","created_at":"2026-05-18T01:29:03Z"},{"alias_kind":"pith_short_12","alias_value":"GVMBWEWELOFO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GVMBWEWELOFOEYNF","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GVMBWEWE","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GVMBWEWELOFOEYNFBVP42MWYLZ","target":"record","payload":{"canonical_record":{"source":{"id":"1502.07883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-27T12:54:05Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"47480bf1c783a94f8f1cbf26e045ecdf793668a3a232f87453742fb4ab6c7b16","abstract_canon_sha256":"fcb41677ee3b60a2f08c69d50c5052d47c3308a02a312db084d595ce7453aad4"},"schema_version":"1.0"},"canonical_sha256":"35581b12c45b8ae261a50d5fcd32d85e7afff6ab0204e5bffef8913eb6d04bce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:03.071808Z","signature_b64":"mqBmuMY/N9pWHssTAKrj60m7yB1PdWflL4I2HzBOFumwyUqVJNbCHf72nkTQbhOwDwEQFLT90uA2/hGeVMs/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35581b12c45b8ae261a50d5fcd32d85e7afff6ab0204e5bffef8913eb6d04bce","last_reissued_at":"2026-05-18T01:29:03.071083Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:03.071083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.07883","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:29:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XfOY3zi0J+5UR3guLt0lh94HTp7oOqzaPs9tlHingaWu7aq5ijCJT38Dqdu2ccayLdz4xyY1tzeQfOfmxHw1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T15:00:48.999089Z"},"content_sha256":"ee3614dd7bba3172875a160e4137abb2a2564e08b2a2b2d3a180dc2f1b4dd2d1","schema_version":"1.0","event_id":"sha256:ee3614dd7bba3172875a160e4137abb2a2564e08b2a2b2d3a180dc2f1b4dd2d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GVMBWEWELOFOEYNFBVP42MWYLZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slow sound in lined flow ducts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.class-ph","authors_text":"Vincent Pagneux, Yves Auregan","submitted_at":"2015-02-27T12:54:05Z","abstract_excerpt":"We consider the acoustic propagation in lined flow duct with a purely reactive impedance at the wall. This reacting liner has the capability to reduce the speed of sound, and thus to enhance the interaction between the acoustic propagation and the low Mach number flow ($M\\simeq0.3$). At the lower frequencies, there are typically 4 acoustic or hydrodynamic propagating modes, with 3 of them propagating in the direction of the flow. Above a critical frequency, there are only 2 propagating modes that all propagate in the direction of the flow. From the exact 2D formulation an approximate 1D model "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07883","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:29:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6UyVORgXC34o25WOXg5diZUPB2XJfDcmKyV9j2DGV+3qkN+1ScM3K2kBxN0xbq4fwqXA3ldz/KCoZHOroczECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T15:00:48.999450Z"},"content_sha256":"c4ad67e3d6b2588fc09b1111195a1ddabedd66c2eba4e080176379dbb10d692e","schema_version":"1.0","event_id":"sha256:c4ad67e3d6b2588fc09b1111195a1ddabedd66c2eba4e080176379dbb10d692e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GVMBWEWELOFOEYNFBVP42MWYLZ/bundle.json","state_url":"https://pith.science/pith/GVMBWEWELOFOEYNFBVP42MWYLZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GVMBWEWELOFOEYNFBVP42MWYLZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-03T15:00:49Z","links":{"resolver":"https://pith.science/pith/GVMBWEWELOFOEYNFBVP42MWYLZ","bundle":"https://pith.science/pith/GVMBWEWELOFOEYNFBVP42MWYLZ/bundle.json","state":"https://pith.science/pith/GVMBWEWELOFOEYNFBVP42MWYLZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GVMBWEWELOFOEYNFBVP42MWYLZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GVMBWEWELOFOEYNFBVP42MWYLZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"fcb41677ee3b60a2f08c69d50c5052d47c3308a02a312db084d595ce7453aad4","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-27T12:54:05Z","title_canon_sha256":"47480bf1c783a94f8f1cbf26e045ecdf793668a3a232f87453742fb4ab6c7b16"},"schema_version":"1.0","source":{"id":"1502.07883","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07883","created_at":"2026-05-18T01:29:03Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07883v1","created_at":"2026-05-18T01:29:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07883","created_at":"2026-05-18T01:29:03Z"},{"alias_kind":"pith_short_12","alias_value":"GVMBWEWELOFO","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GVMBWEWELOFOEYNF","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GVMBWEWE","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:c4ad67e3d6b2588fc09b1111195a1ddabedd66c2eba4e080176379dbb10d692e","target":"graph","created_at":"2026-05-18T01:29:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the acoustic propagation in lined flow duct with a purely reactive impedance at the wall. This reacting liner has the capability to reduce the speed of sound, and thus to enhance the interaction between the acoustic propagation and the low Mach number flow ($M\\simeq0.3$). At the lower frequencies, there are typically 4 acoustic or hydrodynamic propagating modes, with 3 of them propagating in the direction of the flow. Above a critical frequency, there are only 2 propagating modes that all propagate in the direction of the flow. From the exact 2D formulation an approximate 1D model ","authors_text":"Vincent Pagneux, Yves Auregan","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-27T12:54:05Z","title":"Slow sound in lined flow ducts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07883","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ee3614dd7bba3172875a160e4137abb2a2564e08b2a2b2d3a180dc2f1b4dd2d1","target":"record","created_at":"2026-05-18T01:29:03Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fcb41677ee3b60a2f08c69d50c5052d47c3308a02a312db084d595ce7453aad4","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2015-02-27T12:54:05Z","title_canon_sha256":"47480bf1c783a94f8f1cbf26e045ecdf793668a3a232f87453742fb4ab6c7b16"},"schema_version":"1.0","source":{"id":"1502.07883","kind":"arxiv","version":1}},"canonical_sha256":"35581b12c45b8ae261a50d5fcd32d85e7afff6ab0204e5bffef8913eb6d04bce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35581b12c45b8ae261a50d5fcd32d85e7afff6ab0204e5bffef8913eb6d04bce","first_computed_at":"2026-05-18T01:29:03.071083Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:03.071083Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mqBmuMY/N9pWHssTAKrj60m7yB1PdWflL4I2HzBOFumwyUqVJNbCHf72nkTQbhOwDwEQFLT90uA2/hGeVMs/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:03.071808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07883","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee3614dd7bba3172875a160e4137abb2a2564e08b2a2b2d3a180dc2f1b4dd2d1","sha256:c4ad67e3d6b2588fc09b1111195a1ddabedd66c2eba4e080176379dbb10d692e"],"state_sha256":"da425f9b089421b09af27d67b1f9a7fff0d5a2bc749d73ed9c7454cf191b15de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b0lrMnb7eW4EcrDcApdVYz2UNe5589lHqAQBYjZs527ge5+WxoK+xRuvf2Pj6zRqNJKiysr6Ut0NiKGaSNXNDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T15:00:49.001368Z","bundle_sha256":"b4d4455f46faae76c0b7636ebd520115e951dcdfae52bdf9856bceb81b98f41a"}}